2001/06/30 by Giulio Biroli, Marc Mézard, Marc Mezard · 6 citations
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.88.025501
4 pages, 2 figures; minor changes
arxiv created 2001/10/22 · openalex publication_date 2001/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by the concept of geometrical frustration, we introduce a class of statistical mechanics lattice models for the glass transition. Monte Carlo simulations in three dimensions show that they display a dynamical glass transition which is very similar to that observed in other off-lattice systems and which does not depend on a specific dynamical rule. A mean-field study shows the existence of a discontinuous glass transition, in agreement with the numerical observations.